Question

A Little League baseball diamond has four bases forming a square whose sides measure 60 feet each. The pitcher's mound is 46 feet from home plate on a line joining home plate and second base. Find the distance from the pitcher's mound to third base. Round to the nearest tenth of a foot.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Square

side = 60 feet

pitcher's mound from home plate = 46 feet

distance from the pitcher's mound to third base = ?

Step 02:

Diagram:

Step 03:

distance from the pitcher's mound to third base

side 1 = 60

side 2 = 46

angle 1 = 90 / 2 = 45

a ² = b ² + c ² - 2 * b * c* Cos A

a ² = 60² + 46² - 2(60)(46) Cos 45

a² = 1812.771

a = √1812.771

a = 42.576

The answer is:

The distance from the pitcher's mound to third base is 42.6 feet.